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465850496 = 275368669
BaseRepresentation
bin11011110001000…
…101000010000000
31012110120122202002
4123301011002000
51423224203441
6114120443132
714354443466
oct3361050200
91173518662
10465850496
11219a62411
121100194a8
13756894a7
1445c26836
152ad6eb9b
hex1bc45080

465850496 has 32 divisors (see below), whose sum is σ = 945585900. Its totient is φ = 228527104.

The previous prime is 465850477. The next prime is 465850499. The reversal of 465850496 is 694058564.

It can be written as a sum of positive squares in 2 ways, for example, as 363436096 + 102414400 = 19064^2 + 10120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 465850496.

It is not an unprimeable number, because it can be changed into a prime (465850499) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27551 + ... + 41118.

Almost surely, 2465850496 is an apocalyptic number.

It is an amenable number.

465850496 is an abundant number, since it is smaller than the sum of its proper divisors (479735404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

465850496 is an equidigital number, since it uses as much as digits as its factorization.

465850496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68736 (or 68724 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The square root of 465850496 is about 21583.5700476080. The cubic root of 465850496 is about 775.2031356518.

The spelling of 465850496 in words is "four hundred sixty-five million, eight hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 68669 137338 274676 549352 1098704 2197408 3639457 4394816 7278914 8789632 14557828 29115656 58231312 116462624 232925248 465850496